A wheel is rolling along a horizontal ground with a speed o 10 m/s. The magnitude of the velocity of the points at the extremities of the horizontal diameter of the wheel is equal to

(1) 210  m/s

(2) 10 m/s

(3) 10 m/s

(4) 102 m/s

Subtopic:  Rolling Motion (OLD NCERT) |
 72%
From NCERT
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A body of mass m is projected at a velocity v0
with an angle of projection θ. Angular momentum
L of body after time t w.r.to origin is proportional to:
1. Lt                                     2. Lt2
3. Lt0                                    4. Lt

Subtopic:  Angular Momentum |
From NCERT
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A mass M is moving with constant velocity parallel to the X-axis. Its angular momentum with respect to origin is:

1.  Zero

2.  Remains constant

3.  goes on increasing

4.  goes on decreasing

Subtopic:  Angular Momentum |
 77%
From NCERT
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If I is the moment of inertia of a solid sphere about an axis parallel to diameter of a shpere and at a distance x from it. Which of the following graph represents the variation of I with X?

Subtopic:  Moment of Inertia |
 59%
From NCERT
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A particle is rotating under the central force, in which one of the following quantities is constant:

1.  torque

2.  angular momentum

3.  linear momentum

4.  none of these

Subtopic:  Angular Momentum |
 84%
From NCERT
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A small object of uniform density rolls up a curved surface with an initial velocity \(v.\) It is reached upto a maximum height of \(\frac{3v^{2}}{4g}\) with respect to the initial position. The object is:

           

1. ring
2. solid sphere
3. hollow sphere
4. disc

Subtopic:  Rolling Motion (OLD NCERT) |
 76%
From NCERT
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A point is at (x, y, z). What is its moment of inertia about x-axis:

                          

1.  mx2+y2+z2

2.  mx2+y2

3.  my2+z2

4.  mx2+z2

Subtopic:  Moment of Inertia |
 82%
From NCERT
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The disc is placed on the rough horizontal surface given only angular velocity ω0. The velocity of the centre of mass when it starts pure rolling is:

1.  ω0R2

2.  ω0R3

3.  ω0R4

4.  ω0R6

Subtopic:  Rolling Motion (OLD NCERT) |
From NCERT
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A force 2N is along line y = 3x + 4. The torque about the origin is:

1.  510Nm

2.  710Nm

3.  610Nm

4.  810Nm

Subtopic:  Torque |
 52%
From NCERT
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A uniform bar of length 6a and mass 8m lies on a smooth horizontal table. Two-point
masses m and 2m moving in the same horizontal plane with speeds 2v and v
respectively strike the bar as shown below in the figure and stick to the bar after the collision. Denoting angular velocity about the center of mass, total energy, and center of mass velocity of ω, E and vc respectively, we have after collision

                      

1.  vc = 2 m/s 

2.  ω = 35va

3.  ω = v5a 

4.  E = 23 mv2

Subtopic:  Angular Momentum |
 51%
From NCERT
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